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3 March, 10:01

The Eiffel Tower is a steel structure whose height increases by 19.4 cm when the temperature changes from - 9 to 41 oC. What is the approximate height (in meters) at the lower temperature?

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  1. 3 March, 10:24
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    Initial height L = 323.3m

    Explanation:

    Given:

    Change in Length ∆L = 19.4cm 0.194m

    Change in temperature ∆T = 41 - (-9) = 50°C

    Coefficient of linear Thermal expansion of steel k = 12 * 10^-6 m/mK

    Using the formula for linear expansion:

    ∆L = Lk∆T

    L = ∆L/k∆T ... 1

    Substituting the given values into equation 1

    L = 0.194 / (12 * 10^-6 * 50)

    Initial height L = 323.3m
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